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Publications


Forthcoming Publications

  • C. D. Aliprantis and G. Camera A Correspondence-Theoretic Approach to Dynamic Optimization. Macroeconomic Dynamics,
  • C. D. Aliprantis, G. Camera and F. Ruscitti Monetary Equilibrium and the Differentiability of the Value Function. J. Economic Dynamics and Control,
  • C. D. Aliprantis and R. Tourky Equilibria in Infinite Dimensional Incomplete Assets Economies. Economic Theory,

Journal Articles

  • C. D. Aliprantis, G. Camera, and F. Ruscitti (2008). Interior Optima and the Inada Conditions. Economics Letters, vol. 99 293-297.
  • C. D. Aliprantis, G. Camera and D. Puzzello (2007). Contagion Equilibria in a Monetary Model . Econometrica, forthcoming, vol. 75 277-282.
  • C. D. Aliprantis, G. Camera and D. Puzzello (2007). A Random Matching Theory. Games and Economic Behavior, vol. 59 1-16.
  • C. D. Aliprantis, G. Camera and D. Puzzello (2007). Anonymous Markets and Monetary Trading. Journal of Monetary Economics, vol. 54 1905-1928.
  • C. D. Aliprantis, D. Harris and R. Tourky (2007). Riesz Estimators. Journal of Econometrics, vol. 136 431-456.
  • C. D. Aliprantis, G. Camera and D. Puzzello (2007). Bilateral Matching and Latin Squares. J. Math. Economics, vol. 43 99-114.
  • C. D. Aliprantis, D. Harris and R. Tourky (2006). Piecewise Linear Functions. Macroeconomic Dynamics, vol. 10 77-99.
  • C. D. Aliprantis, M. Florenzano and R. Tourky (2006). Production Equilibria. J. Math. Economics, vol. 42 406-421.
  • C. D. Aliprantis, D. Glycopantis and D. Puzello (2006). The Joint Continuity of the Expected Payoff Functions. J. Math. Economics, vol. 42 121-130.
  • C. D. Aliprantis, G. Camera and D. Puzzello (2006). Matching and Anonymity. Economic Theory, vol. 29 415-432.
  • Y. A. Abramovich, C. D. Aliprantis, G. Sirotkin and V. G. Troitsky (2005). Some Open Problems and Conjectures Associated with the Invariant Subspace Problem. Positivity, vol. 9 273-286.
  • C. D. Aliprantis, M. Florenzano and R. Tourky (2005). Linear and Non-linear Price Decentralization. J. Economic Theory, vol. 121 51-74.
  • C. D. Aliprantis, M. Florenzano and R. Tourky (2004). General Equilibrium Analysis in Ordered Topological Vector Spaces. J. Math. Economics, vol. 40 247-269.
  • C. D. Aliprantis, P. K. Monteiro and R. Tourky (2004). Non-marketed Options, Non-existence of Equilibrium, and Non-linear Prices. J. Economic Theory, vol. 114 345-357.
  • C. D. Aliprantis, M. Florenzano, V. F. Martins-da-Rocha and R. Tourky (2004). Equilibrium Analysis in Financial Markets with Countably Many Securities. J. Math. Economics, vol. 40 683-699.
  • C. D. Aliprantis and R. Tourky (2002). Markets That Don't Replicate Any Option. Economics Letters, vol. 76 437-442.
  • C. D. Aliprantis, Y. Polyrakis and R. Tourky (2002). The Cheapest Hedge. J. Math. Economics, vol. 37 269-295.
  • C. D. Aliprantis, B. Cornet and R. Tourky (2002). Economic Equilibrium: Optimality and Price Decentralization. Positivity, vol. 6 205-241.
  • C. D. Aliprantis and R. Tourky (2002). The Super Order Dual of an Ordered Vector Space and the Riesz-Kantorovich Formula. Trans. Amer. Math. Soc., vol. 354 2055-2077.
  • C. D. Aliprantis, R. Tourky and N. C. Yannelis (2001). A Theory of Value with Non-linear Prices: Equilibrium Analysis Beyond Vector Lattices. J. Economic Theory, vol. 100 22-72.
  • C. D. Aliprantis, D. J. Brown and J. Werner (2000). Minimum-Cost Portfolio Insurance. Journal of Economic Dynamics and Control, vol. 24 1703-1719.
  • C. D. Aliprantis, R. Tourky and N. C. Yannelis (2000). Cone Conditions in General Equilibrium. J. Economic Theory, vol. 92 96-121.
  • C. D. Aliprantis, R. Tourky and N. C. Yannelis (2000). The Riesz-Kantorovich Formula in General Equilibrium Theory. J. Math. Economics, vol. 34 55-76.
  • C. D. Aliprantis (1999). On the Backward Induction Method. Economic Letters, vol. 64 125-131.
  • Y. A. Abramovich, C. D. Aliprantis, O. Burkinshaw and A. Wickstead (1999). A Characterization of Compact-Friendly Multiplication Operators. Indagationes Mathematicae N.S., vol. 10 161-171.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1998). The Invariant Subspace Problem: Some Recent Advances. Rend. Istit. Mat. Univ. Trieste, vol. 29 1-76.
  • C. D. Aliprantis, D. J. Brown, I. A. Polyrakis and J. Werner (1998). Portfolio Dominance and Optimality in Infinite Securities Markets. J. Math. Economics, vol. 30 347-366.
  • C. D. Aliprantis, D. J. Brown, I. A. Polyrakis and J. Werner (1998). Yudin Cones and Inductive Limit Topologies. Atti Sem. Mat. Fis. Univ. Modena, vol. 46 389-412.
  • C. D. Aliprantis (1997). On the Mas-Colell-Richard Equilibrium Theorem. J. Economic Theory, vol. 74 414-424.
  • C. D. Aliprantis (1997). Separable Utility Functions. J. Math. Economics, vol. 28 415-444.
  • C. D. Aliprantis (1997). Problem #10586. American Mathematical Monthly, vol. 104 361.
  • C. D. Aliprantis, K. C. Border and O. Burkinshaw (1997). Economies with Many Commodities. J. Economic Theory, vol. 74 62-105.
  • Y. A. Abramovich , C. D. Aliprantisand O. Burkinshaw (1997). Multiplication and Compact-Friendly Operators. Positivity, vol. 1 171-180.
  • C. D. Aliprantis, K. C. Border and O. Burkinshaw (1997). New Proof of the Existence of Equilibrium in a Single Sector Growth Model. Macroeconomic Dynamics, vol. 1 669-679.
  • Y. A. Abramovich, C. D. Aliprantis and I. A. Polyrakis (1996). Some Remarks on Surjective and Bounded Below Operators. Atti Sem. Mat. Fis. Univ. Modena, vol. 44 455-464.
  • C. D. Aliprantis, K. C. Border and O. Burkinshaw (1996). Market Economies with Many Commodities. Rivista di Matematica per le Scienze Economiche e Sociali, vol. 19 113-185.
  • Y. A. Abramovich, C. D. Aliprantis and W. R. Zame (1995). A Representation Theorem for Riesz Spaces and Its Application to Economics. Economic Theory, vol. 5 527-535.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1995). Invariant Subspaces for Positive Operators Acting on a Banach Space with Basis. Proc. Amer. Math. Soc., vol. 123 1773-1777.
  • Y. A. Abramovich, C. D. Aliprantis and I. A. Polyrakis (1994). Positive Projections and Lattice-Subspaces. Proc. Royal Irish Acad. Sect. A, vol. 94A 237-253.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1994). Invariant Subspaces for Positive Operators. J. Functional Analysis, vol. 124 95-111.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1993). Invariant Subspaces of Operators on lp-Spaces. J. Functional Analysis, vol. 115 418-424.
  • C. D. Aliprantis and D. R. Schmidt (1993). Price Dynamics in Overlapping Generations Environments. Economic Theory, vol. 3 541-563.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1993). An Elementary Proof of Douglas' Theorem on Contractive Projections on L1-spaces. J. Math. Analysis and Applications, vol. 177 641-644.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1992). Positive Operators on Krein Spaces. Acta Appl. Math., vol. 27 1-22.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1992). On the Spectral Radius of Positive Operators. Math. Zeitschrift, vol. 211 593-607.
  • C. D. Aliprantis and C. R. Plott (1992). Competitive Equilibria in Overlapping Generations Experiments. Economic Theory, vol. 2 389-426.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1991). Irreducible Positive Operators and Hyperinvariant Ideals, Positive Operators. Positive Operators, Riesz Spaces and Economics, Studies in Economic Theory, vol. 2 225-229.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1991). The Daugavet Equation in Uniformly Convex Banach Spaces. J. Functional Analysis, vol. 97 215-230.
  • C. D. Aliprantis and O. Burkinshaw (1991). When is the Core Equivalence Theorem Valid?. Economic Theory, vol. 1 169-182.
  • C. D. Aliprantis and O. Burkinshaw (1990). An Overlapping Generations Model Core Equivalence Theorem. J. Economic Theory, vol. 50 362-380.
  • C. D. Aliprantis, D. J. Brown and O. Burkinshaw (1990). Valuation and Optimality in the Overlapping Generations Model. International Economic Review, vol. 31 275-288.
  • C. D. Aliprantis, D. J. Brown and O. Burkinshaw (1989). Equilibria in Exchange Economies with a Countable Number of Agents. J. Math. Analysis and Applications, vol. 142 250-299.
  • C. D. Aliprantis and O. Burkinshaw (1988). The Fundamental Theorems of Welfare Economics Without Proper Preferences. J. Math. Economics, vol. 17 41-54.
  • C. D. Aliprantis, D. J. Brown and O. Burkinshaw (1987). Edgeworth Equilibria in Production Economies. J. Econmic Theory, vol. 43 252-291.
  • C. D. Aliprantis, D. J. Brown and O. Burkinshaw (1987). Edgeworth Equilibria. Econometrica, vol. 55 1109-1137.
  • C. D. Aliprantis, D. J. Brown and O. Burkinshaw (1987). An Economy with Infinite Dimensional Commodity Space and Empty Core. Economics Letters, vol. 23 1-4.
  • C. D. Aliprantis and O. Burkinshaw (1986). On the Ring Ideal Generated by a Positive Operator. J. Functional Analysis, vol. 67 60-72.
  • C. D. Aliprantis and O. Burkinshaw (1985). Projecting onto the Band of Kernel Operators. Houston J. Math., vol. 11 7-13.
  • C. D. Aliprantis and E. Langford (1984). Order Completions of Archimedean Riesz Spaces and l-Groups. Algebra Universalis, vol. 19 151-159.
  • C. D. Aliprantis and O. Burkinshaw (1984). Factoring Compact and Weakly Compact Operators Through Reflexive Banach Lattices. Trans. Amer. Math. Soc., vol. 283 369-381.
  • C. D. Aliprantis and O. Burkinshaw (1983). On Positive Order Continuous Operators. Indagationes Math., vol. 45 1-6.
  • C. D. Aliprantis and O. Burkinshaw (1983). The Components of a Positive Operator. Math. Zeitschrift, vol. 184 245-257.
  • C. D. Aliprantis and D. J. Brown (1983). Equilibria in Markets with a Riesz Space of Commodities. J. Math. Economics, vol. 11 189-207.
  • C. D. Aliprantis and O. Burkinshaw (1982). Some Remarks on Orthomorphisms. Colloquium Math., vol. 47 255-265.
  • C. D. Aliprantis and O. Burkinshaw (1982). Dunford-Pettis Operators on Banach Lattices. Trans. Amer. Math. Soc., vol. 274 227-238.
  • C. D. Aliprantis, O. Burkinshaw and M. Duhoux (1982). Compactness Properties of Abstract Kernel Operators. Pacific J. Math., vol. 100 1-22.
  • C. D. Aliprantis, O. Burkinshaw and P. Kranz (1981). On Lattice Properties of the Composition Operator. Manuscr. Math., vol. 36 19-31.
  • C. D. Aliprantis and O. Burkinshaw (1981). On Weakly Compact Operators on Banach Lattices. Proc. Amer. Math. Soc., vol. 83 573-578.
  • C. D. Aliprantis and O. Burkinshaw (1980). Minimal Topologies and Lp-Spaces. Illinois J. Math., vol. 24 164-172.
  • C. D. Aliprantis and O. Burkinshaw (1980). Positive Compact Operators on Banach Lattices. Math. Zeitschrift, vol. 174 289-298.
  • C. D. Aliprantis and O. Burkinshaw (1980). On the Structure of Locally Solid Topologies. Canadian Math. Bulletin, vol. 23 185-191.
  • C. D. Aliprantis and O. Burkinshaw (1977). On Universally Complete Riesz Spaces. Pacific J. Math., vol. 71 1-12.
  • C. D. Aliprantis and O. Burkinshaw (1976). Nakano's Theorem Revisited. Michigan Math. J., vol. 23 173-176.
  • C. D. Aliprantis and E. Langford (1975). Regularity Properties of Quotient Riesz Seminorms. Indagationes Math., vol. 37 199-212.
  • C. D. Aliprantis (1975). On Order Properties of Order Bounded Transformations. Canadian J. Math., vol. 27 666-678.
  • C. D. Aliprantis and O. Burkinshaw (1975). A New Proof of Nakano's Theorem in Locally Solid Riesz Spaces. Math. Zeitschrift, vol. 114 25-33.
  • C. D. Aliprantis (1974). Riesz Seminorms with Fatou Properties. Proc. Amer. Math. Soc., vol. 45 383-388.
  • C. D. Aliprantis (1974). On the Completion of Hausdorff Locally Solid Riesz Spaces. Trans. Amer. Math. Soc., vol. 196 105-125.
  • C. D. Aliprantis and E. Langford (1974). Almost ó-Dedekind Complete Riesz Spaces and the Main Inclusion Theorem. Proc. Amer. Math. Soc., vol. 44 421-426.
  • C. D. Aliprantis, B. P. Curry and S. A. Zwick (1973). Closed Form Solutions for Excited State Populations in Temporary and Spatially Lasing Media. Applied Physics Letters, vol. 23 574-575.
  • C. D. Aliprantis (1973). Some Order and Topological Properties of Locally Solid Linear Topological Riesz Spaces. Proc. Amer. Math. Soc., vol. 40 443-447.

Conference Proceedings

  • C. D. Aliprantis, K. J. Arrow, P. Hammond, F. Kubler, H. M. Wu and N. C. Yannelis (2003). Assets, Beliefs, and Equilibria in Economic Dynamics. Springer-Verlag Lecture Notes in Economics and Mathematical Systems,
  • C. D. Aliprantis, A. Alkan and N. C. Yannelis (1999). Current Trends in Economics: Theory and Applications. Springer-Verlag,
  • C. D. Aliprantis, K. C. Border and W. A. J. Luxemburg (1991). Positive Operators, Riesz Spaces, and Economics. Springer-Verlag, vol. 2
  • C. D. Aliprantis, O. Burkinshaw and N. J. Rothman (1985). Advances in Equilibrium Theory. Springer-Verlag, vol. 244

Books

  • C. D. Aliprantis and R. Tourky (2007). Cones and Duality, Graduate Studies in Mathematics. American Mathematical Society, Providence, RI,
  • C. D. Aliprantis and O. Burkinshaw (2003). Locally Solid Riesz Spaces with Applications to Economics, Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, vol. 105
  • Y. A. Abramovich and C. D. Aliprantis (2002). An Invitation to Operator Theory, Graduate Texts in Mathematics. American Mathematical Society, Providence, RI,
  • Y. A. Abramovich and C. D. Aliprantis (2002). Problems in Operator Theory, Graduate Texts in Mathematics. American Mathematical Society, Providence, RI,
  • C. D. Aliprantis and S. K. Chakrabarti (2000). Games and Decision Making. Oxford University Press, New York and London (1st Edition 2000, 2nd Edition forthcoming),
  • C. D. Aliprantis (1996). Problems in Equilibrium Theory. Springer-Verlag, New York and Berlin,
  • C. D. Aliprantis and K. C. Border (1994). Infinite Dimensional Analysis: A Hitchhiker's Guide, Studies in Economic Theory. Springer-Verlag, New York and Berlin (1st Edition 1994, 2nd Edition 1999, 3rd Edition 2006),
  • C. D. Aliprantis and O. Burkinshaw (1990). Problems in Real Analysis. Academic Press, New York (1st Edition 1990, 2nd Edition 1998),
  • C. D. Aliprantis, D. J. Brown and O. Burkinshaw (1989). Existence and Optimality of Competitive Equilibria. Springer-Verlag, New York and Berlin,
  • C. D. Aliprantis and O Burkinshaw (1985). Positive Operators. Academic Press, New York (1st Edition 1985, 2nd Edition published by Springer-Verlag in 2006),
  • C. D. Aliprantis and O. Burkinshaw (1981). Principles of Real Analysis. Elsevier North-Holland, New York (1st Edition 1981, 2nd Edition published by Academic Press in 1990; 3rd Edition 1998),
  • C. D. Aliprantis and O. Burkinshaw (1978). Locally Solid Riesz Spaces. Academic Press, New York,

Book Chapters

  • C. D. Aliprantis and S. K. Chakrabarti (2006). Game Theory In Decision Making. ASME Press, 245-456.
  • C. D. Aliprantis and G. Carmona (2003). Intorduction to an Economic Problem: A Modeling Perspective. Mahwah, Lawrence Erlbaum Associates, NJ, 255-264.
  • Y. A. Abramovich and C. D. Aliprantis (2001). Positive Operators. Elsevier Science B. V, 85-122.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1995). Quasinilpotence, Cycles and Invariant Subspaces. Marcel Dekker, 1-12.
  • Y. A. Abramovich, C. D. Aliprantis and O. Burkinshaw (1995). Another Characterization of the Invariant Subspace Problem. Birkhauser Verlag, 15-31.
  • C. D. Aliprantis, D. J. Brown and O. Burkinshaw (1991). Valuation and Optimality in Exchange Economies with a Countable Number of Agents. Springer-Verlag, 1-12.
  • C. D. Aliprantis, O. Burkinshaw and D. J. Brown (1985). Examples of Excess Demand Functions on Infinite Dimensional Commodity Spaces. Springer-Verlag, 133-146.